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Additive results for the generalized Drazin inverse
2002
Journal of the Australian Mathematical Society
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Additive perturbation results for the generalized Drazin inverse of Banach space operators are presented. Precisely, if A d denotes the generalized Drazin inverse of a bounded linear operator A on an arbitrary complex Banach space, then in some special cases (A + B) d is computed in terms of A d and B d . Thus, recent results of Hartwig, Wang and Wei (Linear Algebra Appl. 322 (2001), 207-217) are extended to infinite dimensional settings with simplified proofs. 2000 Mathematics subject classification: primary 47A05,47A55, 15A09.
doi:10.1017/s1446788700008508
fatcat:yvakwxo7jzdyrakvpmhgz3mw7e